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MathNet 2015-part-02 — 191 problems (EN–VI) Question 12

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 12

Determine all values that the expression
$$
\frac{1 + \cos^2 x}{\sin^2 x} + \frac{1 + \sin^2 x}{\cos^2 x},
$$
can attain, where $x$ is a real number.